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Simplifying 6(2 + x) + -2(5x + -4) = 12 (2 * 6 + x * 6) + -2(5x + -4) = 12 (12 + 6x) + -2(5x + -4) = 12 Reorder the terms: 12 + 6x + -2(-4 + 5x) = 12 12 + 6x + (-4 * -2 + 5x * -2) = 12 12 + 6x + (8 + -10x) = 12 Reorder the terms: 12 + 8 + 6x + -10x = 12 Combine like terms: 12 + 8 = 20 20 + 6x + -10x = 12 Combine like terms: 6x + -10x = -4x 20 + -4x = 12 Solving 20 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 12 + -20 -4x = 12 + -20 Combine like terms: 12 + -20 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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